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Finding the Fourth Proportional to 305,493.88, 421,562.52 and 184,563.72

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Solution

The fourth proportional to 305,493.88, 421,562.52 and 184,563.72 is: 254,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,493.88 : 421,562.52 = 184,563.72 : x
  2. Step 2: Convert to fraction form
    305,493.88/421,562.52 = 184,563.72/x
  3. Step 3: Cross multiply
    305,493.88x = 421,562.52 × 184,563.72
  4. Step 4: Simplify right side
    305,493.88x = 77,805,146,903.77
  5. Step 5: Solve for x
    x = 77,805,146,903.77/305,493.88
  6. Step 6: Final answer
    x = 254,686.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.